The former White House intern will appear on “Larry King Live” next Monday (Jan.3), King’s first show of the new year.

The booking represents a rare prime-time appearance for the saucy siren whose sexy Oval Office trysts with President Clinton led to his impeachment trial in the Senate.

Lewinsky has been interviewed on prime-time TV only twice before — both times by ABC’s Barbara Walters. The first — timed for the release of British journalist Andrew Morton’s authorized biography, “Monica’s Story” — aired as a two-hour special last March. Ratings went through the roof. The second was part of Walters’ annual year-end special saluting the 10 most fascinating people of the year.

Lewinsky’s appearance on King’s CNN show will be her first interview on live TV. Producers had not decided yesterday whether Lewinsky will take phoned-in questions from viewers. Nor was it known if King would conduct the interview in Washington or New York, where Lewinsky now lives.

Lewinsky’s appearance will come exactly 11 days after President Clinton appeared on “Larry King Live” to discuss his administration’s achievements. Her relationship with Clinton will undoubtedly be a big topic for Lewinsky and King next Monday. Last week, however, in King’s interview with the president, her name never came up.